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seropon [69]
3 years ago
15

a taxi driver charges $2.25 per mile. the driver also charges a one time $12 fee. write and solve an equation to determine how m

any miles are driven , for the driver to charge $30 total
Mathematics
1 answer:
Andrew [12]3 years ago
8 0

Answer:

if x is the number of miles driven, the equation is 2.25x + 12=30. solved: x = 8 miles

Step-by-step explanation:

First, you make the equation. If x is the number of miles, the price per mile would be 2.25 times x or 2.25x. You also have to add the one time fee of $12, so you have 2.25x + 12. Next, you're trying to find x if it costs $30 total so you would have 2.25x + 12 = 30.

Solving,

2.25x + 12 = 30

subtract 12 from both sides

2.25x = 18

divide both sides by 2.25

x = 8 miles

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Using subsitution, which value of x makes this equation true?
julia-pushkina [17]

Answer:

x = 3/5

Step-by-step explanation:

After substituting each option into the equation, we find that the only option that makes the equation true is x=3/5, since 4/5 - 3/5 = 1/5.

8 0
2 years ago
Read 2 more answers
Below is a diagram of Hillcrest High School. The english and math buildings are congruent rectangles. The art building is a squa
rusak2 [61]

Answer/Step-by-step explanation:

1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft

Thus:

4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718

Open the Parentheses

4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718

Combine like terms

42x - 2 = 1,718

42x = 1,718 + 2

42x = 1,720

x ≈ 41

2. Missing perimeter of Building = 2x + 2x + 4x - 6

Simplify

= 8x - 6

Plug in the value of x

= 8(41) - 6

= 322 ft

3. Area of English Building = length * width

= (4x - 6 + 2x)(3x)

Simplify

= (6x - 6)(3x)

Plug in the value of x

= (6(41) - 6)(3(41))

= (246 - 6)(123)

= (240)(123)

= 29,520 ft²

5 0
3 years ago
Graph<img src="https://tex.z-dn.net/?f=fx%3D%20%7Cx%2B1%7C%20%2B2" id="TexFormula1" title="fx= |x+1| +2" alt="fx= |x+1| +2" alig
AURORKA [14]

Answer:

The graph is shown in the following image

Step-by-step explanation:

The parent function of f(x) = | x + 1 | +2  is y = | x |

The graph of y = | x | is the union of two lines:

y = x       for    x\geq0

y = -x      for    x

The vertex of this graph is in point (0,0)

<em>The graphic is shown in the attached image</em>.

Then, if we do  y = f(x + 1)   to the parent function we get:

y = | x + 1 |

This transformation shifts the graph of  y = |x|   1 unit to the left

Then, if we make the transformation  y = f(x) + 2  to the function  y = | x + 1 |   we obtain:

y = | x + 1 | +2

This transformation displaces the graph of the function   y = | x + 1 |    2 units up on the y axis.

So, if the vertex of the main function  y = | x |  was at point (0,0), the vertex of the function  f(x) = |x + 1| +2  has its vertex in the point (-1, 2).

<em>The graph is shown in the following image</em>

5 0
3 years ago
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